definition of rough \((p, q)\)-tensors field over \(C^\infty\) manifold with boundary
Topics
About: \(C^\infty\) manifold
The table of contents of this article
Starting Context
Target Context
- The reader will have a definition of rough \((p, q)\)-tensors field over \(C^\infty\) manifold with boundary.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\( M\): \(\in \{\text{ the } C^\infty \text{ manifolds with boundary }\}\)
\( p\): \(\in \mathbb{N}\)
\( q\): \(\in \mathbb{N}\)
\( (T^p_q (TM), M, \pi)\): \(= \text{ the } C^\infty (p, q) \text{ -tensors bundle over } M\)
\(*f\): \(: M \to T^p_q (TM)\), \(\in \{\text{ the rough sections of } \pi\}\)
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Conditions:
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